Given numbers are 38,38,76,467

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 38,38,76,467 is 35492.

Find LCM of 38,38,76,467 with Prime Factorization

Multiply the prime numbers at the bottom and the left side.

2 x 19 x 1 x 1 x 2 x 467 = 35492

Therefore, the lowest common multiple of 38,38,76,467 is 35492.

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

38 x 38 x 76 x 467 = 51250448

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

38 : 1, 2, 19, 38

38 : 1, 2, 19, 38

76 : 1, 2, 4, 19, 38, 76

467 : 1, 467

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 38,38,76,467, is 1.

Now, the common factors can be found like this.

38:2x 19

38:2x 19

76:2x 2x 19

467:467

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 2x 19x 19 = 1444

Therefore, the value for common factors is 1444.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 51250448/(1x1444)

LCM = 51250448/1444

LCM = 35492

Thus, we can understand that the LCM of 38,38,76,467 is 35492.

Here are some samples of LCM of two or more Numbers calculations.

• LCM of 45, 95, 40, 113
• LCM of 82, 69, 31, 744
• LCM of 22, 51, 94, 581
• LCM of 34, 12, 92, 655
• LCM of 80, 30, 31, 672

1. What is the LCM of 38, 38, 76, 467?

Answer: LCM of 38, 38, 76, 467 is 35492.

2. How to calculate the LCM of 38, 38, 76, 467?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 38, 38, 76, 467.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.